In brief:
It won't

. the cause of the infection needs to be determined and treated. Antibiotics will minimize the symptoms and will help prevent it from spreading. Please see a dentist for proper care.
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In brief:
Depends

If the cause of the tooth infection is originating in the root canal system, no antibiotic is going to get rid of the infection.

It will possibly reduce the symptoms but the only way to get rid of the infection is to treat the root canal infection. The antibiotic will not reach the bacteria within the tooth because the "pulp" no longer has a circulation to carry the drug to the bacteria.

In brief:
Depends

If the cause of the tooth infection is originating in the root canal system, no antibiotic is going to get rid of the infection.

It will possibly reduce the symptoms but the only way to get rid of the infection is to treat the root canal infection. The antibiotic will not reach the bacteria within the tooth because the "pulp" no longer has a circulation to carry the drug to the bacteria.
Would you like to video or text chat with me?